The Soft Pomeron and Nonperturbative Corrections in Quark-Quark Scattering

Abstract

We consider elastic quark-quark scattering at high energy with fixed momentum transfer $t$ and perform factorization of soft-gluon exchanges into a vacuum expectation value of Wilson lines. Taking into account nonperturbative corrections whose structure is predicted from infrared renormalon analysis, we represent the scattering amplitude as an asymptotic series. In the region of small momentum transfer, where the nonperturbative corrections are dominant, the scattering amplitude is Gaussian distribution in $t$ with a slope depending on a nonperturbative scale. A nonperturbative origin of the soft pomeron is thus identified.